48657846016 has 288 divisors, whose sum is σ = 115233198080. Its totient is φ = 20304691200.

The previous prime is 48657845987. The next prime is 48657846031. The reversal of 48657846016 is 61064875684.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201899656 + ... + 201899896.

Almost surely, 2^48657846016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48657846016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57616599040).

48657846016 is an abundant number, since it is smaller than the sum of its proper divisors (66575352064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48657846016 is a wasteful number, since it uses less digits than its factorization.

48657846016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 48657846016 in words is "forty-eight billion, six hundred fifty-seven million, eight hundred forty-six thousand, sixteen".